Least Common Multiple (LCM) of 102 and 101
The least common multiple (LCM) of 102 and 101 is 10302.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 102 and 101?
First, calculate the GCD of 102 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 101 = 1 remainder 1 |
| 2 | 101 ÷ 1 = 101 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 89 | 5518 |
| 199 and 87 | 17313 |
| 28 and 140 | 140 |
| 53 and 159 | 159 |
| 15 and 13 | 195 |